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Finding the Fourth Proportional to 571,155.93, 788,205.33 and 313,015.77

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Solution

The fourth proportional to 571,155.93, 788,205.33 and 313,015.77 is: 431,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,155.93 : 788,205.33 = 313,015.77 : x
  2. Step 2: Convert to fraction form
    571,155.93/788,205.33 = 313,015.77/x
  3. Step 3: Cross multiply
    571,155.93x = 788,205.33 × 313,015.77
  4. Step 4: Simplify right side
    571,155.93x = 246,720,698,288.05
  5. Step 5: Solve for x
    x = 246,720,698,288.05/571,155.93
  6. Step 6: Final answer
    x = 431,967.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.